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Finding the Fourth Proportional to 6,140.70, 8,474.16 and 3,346.20

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Solution

The fourth proportional to 6,140.70, 8,474.16 and 3,346.20 is: 4,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.70 : 8,474.16 = 3,346.20 : x
  2. Step 2: Convert to fraction form
    6,140.70/8,474.16 = 3,346.20/x
  3. Step 3: Cross multiply
    6,140.70x = 8,474.16 × 3,346.20
  4. Step 4: Simplify right side
    6,140.70x = 28,356,234.19
  5. Step 5: Solve for x
    x = 28,356,234.19/6,140.70
  6. Step 6: Final answer
    x = 4,617.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.